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Dominik [7]
3 years ago
15

In February, Alec had 1,562 visitors to his website. In March, he had 1,310 visitors to his website. What is the percentage decr

ease of the number of visitors to Alec's website from February to March? If necessary, round to the nearest tenth of a percent.
Mathematics
1 answer:
tigry1 [53]3 years ago
6 0

Answer:

16.1% is the percentage decrease.

Step-by-step explanation:

We are given the following in the question:

Visitors in February = 1,562

Visitors in march = 1,310

We have to find the percentage decrease of the number of visitors to Alec's website from February to March.

Percentage decrease =

=\dfrac{\text{Change}}{\text{Original}}\times 100\%\\\\=\dfrac{1562-1310}{1562}\times 100\%\\\\=\dfrac{252}{1562}\times 100\% = 16.1\%

Thus, 16.1% is the percentage decrease in the number of visitors to Alec's website from February to March.

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The sum of the circumference of two circles is 38π cm and the sum of their areas is 193π cm². Calculate the radii of the circles
sdas [7]

Answer:

The radii of the circles are 12 cm and 7cm.

Step-by-step explanation:

Let the radii of the circles be r_{1}\ and\ r_{2}

Given:

Sum of circumference of two circles= 38π cm

Formula for circumference of a circle with radius r = 2πr

2\pi r_{1}+2\pi r_{2}=38\pi \\r_{1}+r_{2}=19------------1

Sum of areas of two circles= 193π cm²

Area of circle with radius r = πr²

\pi r_{1}^{2}+\pi r_{2}^{2}=193\pi \\r_{1}^{2}+r_{2}^{2}=193-------2

Substituting r2 = 19 - r1 in equation 2 we get:

r_{1}^{2}+(19-r_{1})^{2}=193\\2r_{1}^{2}-38r_{1}+168=0\\r_{1}^{2}-19r_{1}+84=0\\(r_{1}-12)(r_{1}-7)=0\\r_{1}=12\ or\ 7

Then r2 = 19 - r1

r_{2}=12\ or\ 7

7 0
3 years ago
Simplify 13 + 2 - 5 - 15 a -25 b -5 c 5
Neko [114]

Answer:

−5c5−15a−25b+10

Step-by-step explanation:

13+2−5−15a−25b−5c5

=13+2+−5+−15a+−25b+−5c5

Combine Like Terms:

=13+2+−5+−15a+−25b+−5c5

=(−5c5)+(−15a)+(−25b)+(13+2+−5)

=−5c5+−15a+−25b+10

Answer:

=−5c5−15a−25b+10

4 0
4 years ago
Read 2 more answers
The image of a parabolic lens is projected onto a graph. The image crosses the x-axis at –2 and 3. The point (–1, 2) is also on
Black_prince [1.1K]
The right answer for the question that is being asked and shown above is that: "y = -1/3(x – 2)(x + 3)." The image of a parabolic lens is projected onto a graph. The image crosses the x-axis at –2 and 3. The point (–1, 2) is also on the parabola. the equation can be used to model the image of the lens is y = -1/3(x – 2)(x + 3)

6 0
3 years ago
Read 2 more answers
The sum of two numbers is 15. Twice one number equals 3 times the other. Find both numbers
Dmitrij [34]

Answer:

9 & 6

Step-by-step explanation:

First, check if, by adding them (sum), they equal 15:

9 + 6 = 15

Next, check the greater number, by multiplying it by 2:

9 x 2 = 18

Check the lesser number, by multiplying it by 3:

6 x 3 = 18

Note that they both have 18 as an answer.

9 & 6 are your answers.

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4 0
4 years ago
“Twelve decreased by twice a number equals-34. Write an equation for this situation and then find the number”
OLga [1]
2x-12=34 is the equation.
x=23

Explanation: "Twelve decreased" means that the number 12 is taken away from a certain amount. This certain amount is "twice a number" which means double a value. This value is the number that we do not know, so I used 'x' as a variable placeholder for this number. This is how I got the equation.

I then solved the equation using algebra to find the value of x. You begin this process by adding 12 to 34, which equals 46. I then divided this number by 2, which equals 12. This is the most simplified the equation can get, so 12 is the value number we are looking for.
8 0
3 years ago
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